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Finding the Fourth Proportional to 3,437.13, 5,156.15 and 971.90

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Solution

The fourth proportional to 3,437.13, 5,156.15 and 971.90 is: 1,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.13 : 5,156.15 = 971.90 : x
  2. Step 2: Convert to fraction form
    3,437.13/5,156.15 = 971.90/x
  3. Step 3: Cross multiply
    3,437.13x = 5,156.15 × 971.90
  4. Step 4: Simplify right side
    3,437.13x = 5,011,231.54
  5. Step 5: Solve for x
    x = 5,011,231.54/3,437.13
  6. Step 6: Final answer
    x = 1,457.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.